# Q2, W2: November 9th – 13th Advanced Math

Teacher Felicia Taylor Advanced Math 7th 11 Focus 2: Real Numbers
Standard(s) Taught

#### Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

Learning Targets and Learning Criteria

Students are successful when they can…

• estimate the value of an irrational number by rounding to a specific place value.
• locate irrational numbers approximately on a number line.
• compare the size of two irrational numbers by using a number line.
• use reasoning to determine between which two consecutive whole numbers a square root will fall on a number line.
• recognize perfect squares and non-perfect squares and numbers that are perfect cubes.
• recognize taking a square root of a number as the inverse of squaring that number and taking a cube root of a number as the inverse of cubing that number.
• evaluate the square root of a perfect square and the cube root of a perfect cube.
• justify that the square root of a non-perfect square will be irrational and that the cube root of a non-perfect cube will be irrational.
Classroom Activities

Monday (Innovative & 3rd Period) / Tuesday (5th Period)

1. Work on unfinished assignments from last week until lunch (3rd & Innovative only)
2. Instruction
1. Intro to Square Roots – khan Academy
2. Square Roots and Cube Roots from i-Ready (36 minutes)
3. Assignments – IXL 8th Grade (due Friday, November 13th)
1. D. – New!  Identify rational and irrational square roots
2. F.15 – Square roots of perfect squares
3. F.19 – Relationships between squares and square roots
4. F.20 – Solve equations using square roots
5. F.21 – Cube roots of positive perfect cubes
6. F.23 – Solve equations using cube roots

Wednesday

Veterans Day Holiday

Thursday (Innovative & 3rd Period) / Friday (5th Period)

1. Finish missing assignments until lunch (3rd & Innovative only)
2. Instruction – Estimating and Comparing Square Roots
1. Estimating and Comparing Square Roots Guided Notes
2. Approximating Square Roots video from khan Academy
3. Approximating Irrational Numbers Instruction from i-Ready
4. Math Nation Examples
3. Assignments (due Tuesday, November 17th)
1. IXLs – 8th Grade
1. F.16 – Estimate positive square roots
2. F.24 – Estimate cube roots
2. Edgenuity – Estimating and Comparing Square Roots
4. Prodigy – Rational Approximations (not graded)
Assignments Due

Summatives

1. Edgenuity – Exploring Real Numbers Quiz

Formatives

1. IXL 8th Grade D.4 Convert between decimals and fractions or mixed numbers
2. IXL 8th Grade D.5 Identify rational and irrational numbers
3. i-Ready Teacher Assigned Lesson – Rational and Irrational Numbers Quiz
4. IXL 8th Grade D. – New!  Identify rational and irrational square roots
5. IXL 8th Grade F.15 – Square roots of perfect squares
6. IXL 8th Grade F.19 – Relationships between squares and square roots
7. IXL 8th Grade F.20 – Solve equations using square roots
8. IXL 8th Grade F.21 – Cube roots of positive perfect cubes
9. IXL 8th Grade F.23 – Solve equations using cube roots